17/2 + 7/5 as a fraction

Learn how to find what is 17/2 plus 7/5 in fraction form just in a few minutes. We have covered the easiest method to write 17/2 + 7/5 as a fraction and decimal.

Summary: 17/2 plus 7/5 = 99/10
Since both fractions have unequal denominators, 17/2 plus 7/5 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/2 and fraction 7/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 5. 10 is the LCM of 2 and 5. Multiplying the LCM 10 with the numerators and denominators of both fractions (17/2 x 10/10) + (7/5 x 10/10), and simplify further in order to have the common denominator. So the equivalent fraction for 17/2 is 85/10 and for 7/5 is 14/10. By simplifying this fraction addition 85/10 + 14/10, it becomes 99/10.

CALCULATION: 17/2 + 7/5 as a fraction
17/2 + 7/5 = (?)
17/2 + 7/5 = [(17 x 5) + (7 x 2)]/(2 x 5)
= (85 + 14)/10
= 99/10
17/2 + 7/5 = 99/10
17/2 plus 7/5 as a fraction is 99/10.

where
17/2 is a improper fraction as an addend,
7/5 is a improper fraction as an addend,
99/10 is the sum of 17/2 and 7/5.

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17/2 plus 7/5 as a decimal
17/2 + 7/5 = 99/10
99/10 = 9.9
(17/2) + (7/5) as a decimal is 9.9

where
9.9 is the sum of 17/2 and 7/5.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/2 and 7/5 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/2 plus 7/5 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/2) + (7/5) using LCM Method:
What is 17/2 plus 7/5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/2
Fraction B: 7/5

What to be found?
(17/2) + (7/5) = ?
Find what's the sum of 17/2 and 7/5.

step 2 Compare the denominators of fractions 17/2 and 7/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/2 and 7/5 are not equal, it is said to be unlike fractions addition.

step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 17/2 and 7/5:
The LCM of 2 and 5 is 10.

step 4 Write the fractions 17/2 and 7/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/2 + 7/5
= [(17 x 10)/(2 x 10)] + [(7 x 10)/(5 x 10)]

step 5 Simplify the expression to have common denominator:
= 85/10 + 14/10

step 6 Take the common values out and rewrite the above expression like the below:
= 1/10 x (85/1 + 14/1)
= 1/10 x (85 + 14)

step 7Simplify the above expression further:
= 1/10 x 99
= 99/10
17/2 + 7/5 = 99/10

Hence,
17/2 plus 7/5 as a fraction is 99/10.

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17/2 + 7/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/2
Fraction B: 7/5

What to be found?
(17/2)+(7/5) = ?
Find what's the sum of 17/2 and 7/5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 5), find the product of numerator of Fraction B and denominator of Fraction A (7 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 5) and rewrite the equation as like the below:
= (17 x 5) + (7 x 2)/(2 x 5)

step 3 Simplify and rewrite the fraction:
= (85 + 14)/10
17/2 + 7/5 = 99/10

Hence,
17/2 plus 7/5 in fraction is 99/10